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107270856 = 233271121759
BaseRepresentation
bin1100110010011…
…01001011001000
321110211220221200
412121031023020
5204430131411
614351104200
72441534010
oct631151310
9243756850
10107270856
1155608200
122bb12060
13192bb0a4
1410364c40
15963de56
hex664d2c8

107270856 has 144 divisors (see below), whose sum is σ = 365164800. Its totient is φ = 27846720.

The previous prime is 107270851. The next prime is 107270857. The reversal of 107270856 is 658072701.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 107270856.

It is not an unprimeable number, because it can be changed into a prime (107270851) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60105 + ... + 61863.

Almost surely, 2107270856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107270856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182582400).

107270856 is an abundant number, since it is smaller than the sum of its proper divisors (257893944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107270856 is a wasteful number, since it uses less digits than its factorization.

107270856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 107270856 is about 10357.1644768247. The cubic root of 107270856 is about 475.1461873220.

The spelling of 107270856 in words is "one hundred seven million, two hundred seventy thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 968 1089 1386 1452 1694 1759 1848 2178 2541 2772 2904 3388 3518 4356 5082 5277 5544 6776 7036 7623 8712 10164 10554 12313 14072 15246 15831 19349 20328 21108 24626 30492 31662 36939 38698 42216 49252 58047 60984 63324 73878 77396 98504 110817 116094 126648 135443 147756 154792 174141 212839 221634 232188 270886 295512 348282 406329 425678 443268 464376 541772 638517 696564 812658 851356 886536 1083544 1218987 1277034 1393128 1489873 1625316 1702712 1915551 2437974 2554068 2979746 3250632 3831102 4469619 4875948 5108136 5959492 7662204 8939238 9751896 11918984 13408857 15324408 17878476 26817714 35756952 53635428 107270856